94195906560 has 1152 divisors, whose sum is σ = 413424648000. Its totient is φ = 20214448128.

The previous prime is 94195906559. The next prime is 94195906573. The reversal of 94195906560 is 6560959149.

94195906560 is a `hidden beast` number, since 9 + 41 + 9 + 590 + 6 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 94195906497 and 94195906506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 230307636 + ... + 230308044.

Almost surely, 2^94195906560 is an apocalyptic number.

94195906560 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94195906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206712324000).

94195906560 is an abundant number, since it is smaller than the sum of its proper divisors (319228741440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

94195906560 is a wasteful number, since it uses less digits than its factorization.

94195906560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 94195906560 in words is "ninety-four billion, one hundred ninety-five million, nine hundred six thousand, five hundred sixty".